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We present the meshfree Mixed Collocation Method (MCM) to solve themonodomain model for numerical simulation of cardiac electrophysiology. Weapply MCM to simulate cardiac electrical propagation in 2D tissue sheets and 3Dtissue slabs as well as in realistic large-scale biventricular anatomies.Capitalizing on the meshfree property of MCM, we introduce an immersed gridapproach for automated generation of nodes in the modeled cardiac domains. Wedemonstrate that MCM solutions are in agreement with FEM solutions, thusconfirming their suitability for simulation of cardiac electrophysiology bothin healthy and disease conditions, such as left-bundle-branch block (LBBB) andmyocardial infarction. Despite the fact that the computational time for MCMcalculations is longer than for FEM, its efficiency in dealing with domainspresenting irregularity, nonlinearity and discontinuity make MCM a promisingalternative for heart's electrical investigations.

Cardiac Electrophysiology Meshfree Modeling through the Mixed Collocation Method